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外文翻译--椭圆齿轮曲柄摇杆打纬机构的运动学分析即试验研究 英文版.pdf

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外文翻译--椭圆齿轮曲柄摇杆打纬机构的运动学分析即试验研究 英文版.pdf

Receiveddate20100119FoundationitemsNationalNaturalScienceFoundationofChinaNo.50875243ZhejiangTechniqueInnovationGroupofModernTextileMachinery,ChinaNo.2009R50018FoundationofEducationDepartmentofZhejiangProvince,ChinaNo.Y201019088FoundationofNewTextileR&DEmphasisedLaboratoryofZhejiangProvince,ChinaNo.2009FZD004CorrespondenceshouldbeaddressedtoCHENJianneng,Emailjiannengchenzstu.edu.cnKinematicAnalysisandTestStudyofEllipticGearandCrankRockerBeatingUpMechanismZHAOXiong赵雄,RENGenyong任根勇,CHENJianneng陈建能CollegeofMechanicalEngineeringandAutomation,ZhejiangSciTechUniversity,Hangzhou310018,ChinaAbstractInordertoanalyzethekinematicperformancesofellipticgearandcrankrockerEGCRbeatingupmechanism,kinematicmathematicmodelsofthemechanismwereestablished,andanaidedanalysisandsimulationsoftwarewerecompiled.Thissoftwarecandisplaythekinematiccharacteristicsandsimulationmotionofthemechanismaccordingtodifferentparameters.Italsosuppliesaplatformforhumancomputerinteraction.Agroupofsatisfactoryparameterswereselectedbythesoftware.AtestbedofEGCRbeatingupmechanismwasdevelopedaccordingtotheseparameters.Thekinematicperformancesofthemechanismwereverifiedbyhighspeedvideotaperecorder.KeywordsbeatingupmechanismellipticgearcrankrockerkinematicsCLCnumberTS103.135DocumentcodeAArticleID16725220201102022204IntroductionBeatingupmechanismisoneofthekeymechanismsofaloom.Itbeatstheweftwhichisinsertedbyweftinsertionmechanismtoformthefabric.Itsfunctionistotransformtheconstantspeedrotationoftheloomsspindletothenonconstantspeedreciprocatingswingofthesley.Inordertoallowtheweftinsertionmechanismtofinishinsertingthewefts,thesleyofthebeatingupmechanismshouldhaveadequatedwelltimeorrelativedwelltimeinthefrontposition.Theperformancesofbeatingupmechanismdeterminethefabricsquality,andalsodecidethequalityandcompetitivenessofaloom[1].Nowadays,therearethreegeneralkindsofbeatingupmechanismsfourbarlinkagebeatingupmechanism,sixbarlinkagebeatingupmechanism,andconjugatedcambeatingupmechanism.Generally,fourbarlinkagebeatingupmechanismisthesimplestmechanismwith65°75°relativedwelltime.Sixbarlinkagebeatingupmechanismhasabout120°relativedwelltime.Ithasmorehingeswhichproducelargercumulativeerrors.Thedwelltimeofconjugatedcammechanismis220°240°,buttheconjugatedcammechanismneedsveryhighprecisionmachining.Iftherearesomeprocessingerrorsitwillcausecertainvibration[24].Inthispaper,anewtypeofbeatingupmechanismbasedonellipticgearandcrankrockerEGCRwasproduced[5],anditskinematicmathematicmodelswereestablished.Atestbedwasdevelopedandthekinematicperformancesofthemechanismwereverifiedbyhighspeedvideotaperecorder,whichdemonstratedthatthisnewmechanismcouldmeettherequirementsofweftbeatingup.1EGCRBeatingUpMechanismFigure1showstheEGCRbeatingupmechanisminitsinitialposition.Oisoneofthefocusesoftheactiveellipticgear1andtherotationcentreoftheloomsspindle.Aisoneofthefocusesandtherotationcentreofthedrivenellipticgear2.CrankABl1isfixedonthedrivenellipticgear.RockerCDl3isdrivenbyBCl2andswingsreciprocally.SleyDEl5isfixedwithCDbyaxisDandswingsreciprocallytogetherwithCD.Byoptimizingtheeccentricityktheratiooftheellipticgearsminorradiusbtomajorradiusa,theangleβtheincludedanglebetweenADl4andcrankABwhencrankABandlinkageBCarecollinear,thatisthesleyDEwillbeinthefrontposition,δtheincludedanglebetweenthemajoraxisoftheactiveellipticgearandAO,γtheincludedanglebetweenADandxaxis,andthelengthsoflinkagesincrankrockermechanism,thekinematicperformancesofthisnovelbeatingupmechanismbecomeexcellent,whicharesimilartothoseoftheconjugatedcambeatingupmechanism.1Activeellipticgear2DrivenellipticgearDESleyFig.1EGCRbeatingupmechanismwithitsinitialposition2KinematicMathematicModelsofEGCRBeatingUpMechanism2.1MathematicalmodelsofthedrivenellipticgearInFig.1,whentheactivegear1rotatesanticlockwiseataconstantspeed,gear2willrotateclockwiseatanonconstantspeed.Giventheangulardisplacementsoftheactivegear1φ1anddrivengear2φ2,thedistancefrommeshpointPtoaxisOisr1andPAisr2.Withcalculation,thenr1b2/accosφ1,1r2b2/accosφ2,2where,cisthedistancebetweentheellipticgearcenterandthefocusφ1rangesfrom0to2π,andφ2from0to-2π[6].Accordingtothetransmissionprinciplesofellipticgearsr12a-r2,3222JournalofDonghuaUniversityEng.Ed.Vol.28,No.22011thatis,cosφ2accosφ1b22a22accosφ1-b2c-ac.4FromEq.4,therelationshipbetweenφ2andφ1canbeobtained.Accordingtotheprinciplesofgeartransmissionφ2φ1r1r2.5Giventhatthevelocityofactivegearisconstant,φ¨2φ1r1r2-r1r2r22-2ar2r22φ1.6TakingthederivativeofEqs.1and3,r1b2csinφ1accosφ12φ1andr2-r1,soinEq.6r2-b2csinφ1accosφ12φ1.72.2KinematicalmodelsofrockerCDSincethecrankisfixedonthedrivenellipticgear,itsangularvelocityandangularaccelerationarethesameasthoseofthedrivenellipticgear.Thatistosay,j1φ2,j¨1φ¨2,andj1βγφ2.FromFig.2,thefollowingequationscanbededuced[7].Fig.2Crankrockermechanismj2arctanyC-yBxC-xB8j4arctanyB-yDxB-xD9j3arccosl32xD-xB2yD-yB2-l222l3xD-xB2yD-yB槡2j410j2VxBcosj3VyBsinj3l2sinj2-j311j3VxBcosj2VyBsinj2l3sinj2-j312j2c1cosj3c2sinj3l2sinj2-j313j3c1cosj2c2sinj2l3sinj2-j314InEqs.13and14,c1axBl3j23cosj3-l2j22cosj2,15c2ayBl3j23sinj3-l2j22sinj2.162.3KinematicmodelsofEinxaxisdirectiononthesleyDEDisplacementequationsxExDlDEcosj3-π.17VelocityequationVxElDEj3cosj3-π/2.18AccelerationequationaxElDEj32cosj3lDEj3jcosj3-π/2.193AidedAnalysisandSimulationSoftwareofMechanismandParameterOptimization3.1AidedanalyticalsoftwareThevisualizationofthemechanismisanalyzingandoptimizingprocessthatcandisplaymoreinformationoftheprocesstousers.Userscanobservethewholeprocessandfindouttheessentialparametersofthemechanism.Humancomputerinteractionanalysisandoptimizationcombinethevirtuesofbothhumanandcomputers.Humanspossessthecapabilitiesofillegibleillation,judgmentandinnovation,whichcanhelptodisposerandomeventsaswell.Meanwhile,computersaregoodataccuratecalculationandrepeativework.Humanandcomputercanfullydisplaytheirrespectiveadvantagesinhumancomputerinteractionoptimization.Thussatisfactoryparameterscanbeeasilyachieved[810].BasedontheabovekinematicmodelsofEGCRbeatingupmechanism,anaidedanalysisandsimulationsoftwarearecompiledwhichisshowninFig.3.Itcanbeusedtoanalyzetheinfluencesofdifferentmechanismparametersandverifywhetherthereexistinterferencesamongthecomponentsofthemechanism.Fig.3AidedanalysisandsimulationsoftwareofmechanismWiththissoftware,userscaninputmechanismparameterssuchasa,k,γ,l1,l2,l3,l4,androtaryspeedoftheloomsspindle.Themechanismmotionsimulationwillbeshownontheleftoftheinterfacethedisplacement,velocity,andaccelerationcurvesofpointEwillbeshownrespectivelyontherightoftheinterfacetheoptimalvalueofδwillbeshownontheleftbottomoftheinterface.Thedisplacementcurveshowsthatdwelltimeintherearpositiondecreasesaskincreases322JournalofDonghuaUniversityEng.Ed.Vol.28,No.22011meanwhiletheaccelerationcurveshowsthatthemaximalaccelerationalsodecreasesaskincreases.Forkinematicperformancesofthemechanism,kneedstobeoptimizedaccordingtotherequirementsofthebeatingupweftl1,l2,l3,andl4alsoneedtobemodifiedbytheuserincompanywithk,soastoachieveidealkinematicperformances.3.2OptimizationresultsanalysisOneofthemostimportantperformancesofbeatingupmechanismisthedwelltimeofsley.Increasingmechanismparameterkcanprolongdwelltime,meantimethemaximalaccelerationincreasesremarkably,andtheoversizefluctuationofaccelerationwilldegrademechanismdynamicperformance.Designermustthereforemakeabalancebetweenprolongingdwelltimeandcontrollingaccelerationfluctuation.Withtheaboveaidedanalysisandsimulationsoftware,agroupofparameterswasobtainedδ4°,k0.85,γ135°,a71.233mm,l140mm,l2100mm,l3180mm,l4199mm,andlDE189.5mm.Basedontheseparameters,whentheloomhasaspeedof300r/min,thekinematicalcurveofthebeatingpointEisshowninFig.4.Whenthebeatingupmechanismisontherearposition,thedisplacementcurveisalmostflat.Thedwelltimeofsleyiscloseto200°rangingfrom92°to285°,whichwillnotleadtointerferenceofthebeatingupmechanismandweftinsertionmechanism.Inaddition,duringthisperiod,thecurvesofthevelocityandaccelerationofthesleyarealmostcloseto0.Thereforeitwillnotcausevibration,whichwillbenefittheweftsenteryandexitfromshed.Attheendofthebeatingup,themaximaldisplacementis85mmandthemaximalaccelerationis615.8434m/s2,whichbothcanmeettherequirementsofthebeatingupweft.Fig.4ThekinematiccurvesofEGCRbeatingupmechanism4TestStudyBasedontheaboveparameters,atestbedofEGCRbeatingupmechanismisdevelopedFig.5.UsingthehighspeedvideotaperecorderandvideoanalysissoftwareBlastersMAS,thedisplacementandvelocityareobtainedwithloomspindlesrotaryspeedat100r/min.TheoreticalandexperimentaldisplacementsofbeatingpointEareshowninFig.6,andtheoreticalandexperimentalvelocitiesofbeatingpointEareshowninFig.7.Theactualmeasureddisplacementcurveisconsistentwiththetheoreticalone,buttheactualmeasuredvelocitycurveshowssomefluctuation.Therearetworeasonsforthisfindingthegapamongthecomponentsofthemechanismcausesvibrationthevideoanalysiscontainserrors.422JournalofDonghuaUniversityEng.Ed.Vol.28,No.220115Conclusions1Inthispaper,theEGCRbeatingupmechanismhadbeenproduced.Itskinematicmathematicmodelshadbeenestablishedandanaidedanalysisandsimulationsoftwarehadbeencompiledbyvisualbasic.Agroupofsatisfactoryparametershadbeengotbythissoftware.2AtestbedoftheEGCRbeatingupmechanismwasdeveloped.Withthevideotaperecorder,itskinematicperformanceswereverified.Thisdemonstratedthevalidityofthemodelsandthefeasibilityofthemechanism.References[1]ZhuSK,GaoWD.WeavingMachine[M].2nded.BeijingChinaTextile&ApparelPress,2004267268.inChinese[2]LiangHS,HuQE,WangGC,etal.TheFuzzyOptimizationDesignoftheFourLinkWeftBeatUpMechanism[J].MachineDesignandResearch,2005,2127275.inChinese[3]MaSP.OptimalDesignandSimulationon6LinkBeatingConstructionBasedonMATLAB[J].JournalofTextileResearch,2006,2734043.inChinese[4]ZhengZY.AnalysisofBeatingUpMechanismofTT96RapierLoom[J].JournalofTextileResearch,2004,2547374.inChinese[5]ZhejiangSciTechUniversity.WeftInsertingandBeatingUpMechanismwithEllipticGear&CrankRockerCN,200810162178.0[P].20081118.inChinese[6]ChenJN,ZhaoX,XuB,etal.EstablishmentofKinematicsModelsandPerformanceAnalysisofEllipticGear&CrankRockerWeftInsertionMechanism[J].ChinaMechanicalEngineering,2007,181922942297.inChinese[7]ZhaoY.MechanismMathematicsAnalysesandSynthesis[M].BeijingChinaMachinePress,2005177181.inChinese[8]YangCJ,ChenY,LuYX.StudyontheHumanMachineIntelligentSystemandItsApplication[J].ChineseJournalofMechanicalEngineering,2000,3664247.inChinese[9]TengHF,WangYS,ShiYJ.KeySupportingTechniquesofHumanComputerCooperation[J].ChineseJournalofMechanicalEngineering,2006,421119.inChinese[10]LiuJ,TengHF,QuFZ.InterfaceofHumanComputerInteractiveGeneticAlgorithm[J].JournalofDalianUniversityofTechnology,2005,4515863.inChinese522JournalofDonghuaUniversityEng.Ed.Vol.28,No.22011

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